Answers
The missing side we get for the triangle DOG s 56 and the triangle CAT is 90 when the triangle are congruent.
Given that,
In the picture we have 2 triangles,
We have to find the missing sides of the 2 triangles.
We have triangle DOG is congruent to triangle CAT.
Then we can say as,
Take the missing sides as a and b.
CT/ GD= CA/ OD= AT/ GO
126/b= 54/24= a/40
126/b = 9/4 =a/40
Take,
126/b = 9/4
126×4=9×b
504= 9b
b=504/9
b= 56
Now, take
9/4 =a/40
9×40= a×4
360=4a
a=360/4
a=90
Therefore, The missing side we get for the triangle DOG s 56 and the triangle CAT is 90 when the triangle are congruent.
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Related Questions
over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. researchers surveyed a group of 273 randomly selected teen girls living in massachusetts (between 12 and 15 years old). after four years the girls were surveyed again. sixty-three said they smoked to stay thin. is there good evidence that more than thirty percent of the teen girls smoke to stay thin? the alternative hypothesis is:
Answers
We conclude that less than 30% of teen girls smoke to stay thin.
Let p be the percentage of teen girls who smoke to stay thin.
So, the Null Hypothesis,([tex]H_{0}[/tex]):
p≥ 30%
This means that at least 30% of teen girls smoke to stay thin
Alternate Hypothesis,([tex]H_{A}[/tex]) :
p < 30%
This means that less than 30% of teen girls smoke to stay thin.
The test statistics that would be used here
One sample z proportion statistics:
T.S = p' - p/ [tex]\sqrt{p'(1-p')/n}[/tex] ≈N( 0,1)
Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231
n = number of sample of teen girls = 273
Now putting these values we have:
Test statistics = 0.231 - 0.30/ [tex]\sqrt{0.231( 1- 0.231)/ 273}[/tex]
= -2.705
So we get the value of z-test statistics as - 2.705.
As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.
As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore we get that less than 30% of teen girls smoke to stay thin.
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(03.01 MC)
Evaluate
ultiple Choice Worth 6 points)
x³-5x²+2x-6
x-1
10
X-1
Ox²-6x-2--
Ox²-4x-2-1
8
8
X-1
Ox³-6x-2--
10
X-1
Ox²-4x+6--
Answers
The evaluation of the fraction, [tex]\dfrac{x^3-5\cdot x^2+ 2\cdot x-6}{x - 1}[/tex], using the long division method is the option;
[tex]x^2 - 4\cdot x -2-\dfrac{8}{x-1}[/tex]What is the long division method?The expression can be presented as follows;
[tex]\dfrac{x^3-5\cdot x^2+ 2\cdot x-6}{x - 1}[/tex]
The numerator x³ - 5·x² + 2·x - 6 does not have (x - 1) as a factor
However, dividing x³ - 5·x² + 2·x - 6 by (x - 1), gives;
x² - 4·x -2
(x - 1)|x³ - 5·x² + 2·x - 6
[tex]{}[/tex] x³ - x²
[tex]{}[/tex] -4·x² + 2·x - 6
[tex]{}[/tex] -4·x² + 4·x
[tex]{}[/tex] -2·x - 6
[tex]{}[/tex] -2·x + 2
[tex]{}[/tex] -8
The quotient from the division is x² -4·x -2, the remainder is -8, therefore, the result from the division x³ - 5·x² + 2·x - 6 by (x - 1) is the option;
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for a regression analysis, the value of r is 0.42. what is the value of the coefficient of nondetermination?
Answers
For a Regression Analysis that the value of R is 0.42, the value of the Coefficient of Non-Determination is 0.8236.
What is the Coefficient of Non-Determination?Coefficient of non-determination is the variation recorded in the dependent variable which is not counted by the changes in the explanatory variable. This is calculated by subtracting Coefficient of Determination from 1.
Coefficient of Non-Determination explains the amount of unexplained, or unaccounted for, variance among two variables, or among a set of variables (predictors) in an outcome variable.
The formula for the Coefficient of Non-Determination is 1 – R².
So, in this case:
1 – R²
= 1 – (0.42)²
= 1 – 0.1764
= 0.8236
Hence, the value of the Coefficient of Non-Determination is 0.8236.
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You’ve decided to give your best friend a bag of marbles for his birthday. Since you know that your friend likes green marbles better than red ones, the bag has twice as many green marbles as red. The label on the bag says it contains a total of 84 marbles.
How many green marbles are in the bag? Write an equation (or system of equations) for this problem. Then solve the problem using any method you choose. Be sure to check your answer when you are finished.
Answers
Step-by-step explanation:i went on half of 84 wich was 42 so i found another problem that can equal into 84 wich was 63 green marbles 21 red
Your anova is statistically significant. How will you determine which groups are different?.
Answers
If the ANOVA test is statistically significant, then we can determine which groups are different by means of the F statistic, which is defined by the ratio of the mean sum square to the average square error (none of the options are correct).
What is the ANOVA test?The ANOVA test can be defined as a strategy to assess when differences between two or even more groups and or populations in the same are statistically significant.
Moreover, the F statistic refers to the results of the ANOVA, which is used to show statistically significant differences between groups in the sample.
Therefore, with this data, we can see that the ANOVA test is used to determine when differences between groups in the sample are significant enough to explain a given working hypothesis, and it is associated with the F statistics.
Complete question:
Your ANOVA is statistically significant. How will you determine which groups are different?
Use planned or unplanned comparisons.
Look at what the means in each group are.
Conduct Levene's test.
None of the above
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Elizabeth has a mask collection of 420 masks. She keeps 65% of the masks on her wall. How many masks does she keep on her wall?
Answers
The number of masks Elizabeth kept on the wall is 273.
How to find the number of mask she keeps on the wall?Elizabeth has a mask collection of 420 masks. She keeps 65 percent of the masks on her wall.
The number of mask she keeps on the wall can be calculated as follows:
Therefore,
number of mask she keeps on the wall = 65 percent of total mask collection
number of mask she keeps on the wall = 65% of 420
number of mask she keeps on the wall = 65 / 100 × 420
number of mask she keeps on the wall = 27300 / 100
Therefore,
number of mask she keeps on the wall = 273
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4q+2b=14
3a-2b=0
a= b=
Answers
Answer: a=2, b=3
Step-by-step explanation:
How do I do this???
I need to find it out, but it is comlicated
Answers
Answer:
x=3
Step-by-step explanation:
The equation for perimeter of a rectangle is 2(l)+2(w)
So, 2(x+2)+2(2x-1)=
2x+4+4x-2=20
You then combine like terms
6x+2=20, then subtract 2 from both sides
6x=18, then divide 6 by both sides
x=3
the probability that a married man watches a certain television show is 0.4, and the probability that a married woman watches the show is 0.5. the probability that a man watches the show, given that his wife does, is 0.7. find the probability that
Answers
The probability is that the married couple watches the show is 0.35.
According to the statement
We have to find the probability is that the probability that married couple watches the show is 0.35.
For this purpose, we know that the
Probability is the ratio of the number of outcomes to the total number of possible outcomes.
With the given information
a married man watches a certain television show is 0.4
the probability that a married woman watches the show is 0.5.
the probability that a man watches the show, given that his wife does, is 0.7
Then
Let M be the event that a married man watches a certain T.V.
And N be the event that a married woman watches the show.
The probability become
[tex]P(M)=0.4[/tex] [tex]P(F)=0.5[/tex]
and the
[tex]P(\frac{M}{F} )=0.7[/tex]
Then
The probability become is the
P(M∩F)=0.7*0.5
And
[tex]P=0.7*0.5[/tex]
[tex]P=3.5[/tex]
So, The probability is that the married couple watches the show is 0.35.
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Disclaimer:
This question was incomplete. Please find the full content below.
Question:
The probability that a married man watches a certain TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Then
the probability that married couple watches the show.
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Write the
slope-intercept form of an equation for
the line of fit. Use points (15, 40) and (41, 61).
Answers
Answer:
Step-by-step explanation:
Hailey so many people ask about this type of question. I've got a cut and paste answer. I would like to hear from you , posted in the comments of this problem. what's the part of this type of problem that you find complex and difficult. The math to do this is not hard. But it is a difficult problem for so many people. please write in your words what it is that you find difficult. Thanks :)
They ask for slope-intercept form of the problem. this form: y= mx + b
recall there is also point-slope form of y -y1 = m(x -x1)
They give us two points.
point P1 (15,40) in the form (x1,y1)
point P2(41,61) in the form (x2,y2)
Step1: find the slope
slope = m
m = (y2-y1) / (x2-x1)
m= (61-40) / (41-15)
m = 19 / 26
Step 2: now use the point-slope form to get the slope-intercept form. Any given point will work, I'll use P1
y - y1 = m(x -x1)
y - 40 = [tex]\frac{19}{26}[/tex](X - 15 )
use your algebra skillz to solve for "Y" ( get "Y" by itself )
y - 40 = [tex]\frac{19}{26}[/tex]X - [tex]\frac{19}{26}[/tex]*15
y - 40 = [tex]\frac{19}{26}[/tex]X - [tex]\frac{285}{26}[/tex]
y - 40 = [tex]\frac{19}{26}[/tex]X - 10[tex]\frac{25}{26}[/tex]
Y = [tex]\frac{19}{26}[/tex]X - 10[tex]\frac{25}{26}[/tex] + 40
Y = [tex]\frac{19}{26}[/tex]X + 30[tex]\frac{25}{26}[/tex] this is in slope-intercept form now
Tyreek pitches for investors. They agree to each invest $25,000 and value tyreek's company at $200,000. How much of the company will tyreek still own after the investment?.
Answers
The 50% of the company will tyreek still own after the investment, according to the given question.
What do you mean by investment pitches?
A brief outline of your business plan that piques the curiosity of potential investors should be included in your investment pitch presentation. Because your product is only one component of your business strategy, it shouldn't only be a pitch for your product.
According to data in the given question,
We have the information:
The total value of Tyreek's company = $200,000
Contributed amount of the four investors = $25,000 * 4 = $100,000
Assume P is the percentage of the company which Tyreek will still own after the investment.
[tex]P=\frac{Total amount contributed by the four investors }{Value of Tyreek's company} \\P=\frac{100,000}{200,000}\\ P=0.5 or 50%[/tex]
Therefore, the 50% of the company will tyreek still own after the investment, according to the given question.
The 50% of the company will tyreek still own after the investment, according to the given question.
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Is this relation a function? {(1,3), (1,2), (2,-4),(3,2)}
a. Function
b. Not a Function
Answers
Find the sum of the interior angles of a 12-sided polygon.
1,080°
1,800°
2,100°
2,160°
Answers
So, (12-2) x 180 = 1800
Answer: 1800
Have a nice day ^^
A dinner theater charges $20 per person. Your table can hold a maximum of five people. Does the situation represent a function?.
Answers
If a dinner theater charges $20 per person and a table can hold a maximum of five people, the situation represents a function.
In mathematics, function refers to an expression, law or rule that describes a relationship between the independent variable and the dependent variable. A function defines a relation between a set of inputs and a set of potential outputs with the quality property that each input is associated to exactly one output. The provided information can be represented as y = 20x where y is the total charge and x is the number of people, which is a linear function. As the number of people, a table can hold is 5 the domain is represented as 0 ≤ x ≤ 5 and the range is 0 ≤ x ≤ 100 (y = 20*5 = 100).
Note: The question is incomplete. The complete question is A dinner theater charges $20 per person. Your table can hold a maximum of five people. Does the situation represent a function? If so, find the domain and range.
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Explain which is the BEST reason why the angle-angle criterion (AA) is sufficeint to establish similarity in triangles.
A. The triangle sum theorem states that all triangles have a sum of 180 degrees.
B. If two angles are congruent, then two sides are congruent. This is enough to prove the triangles are similar.
C. If two angles are congruent, then the side in between them is congruent too. This is enough to prove the triangles are similar.
D. If you know two corresponding angles are congruent in two triangles, then the third angles would have to be congruent too. The degrees in a triangle add up to 180 degrees.
Answers
The answer is;
''If you know two corresponding angles are congruent in two triangles, then the third angles would have to be congruent too. The degrees in a triangle add up to 180 degrees.''
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The angle- angle criterion (AA) is sufficient to establish similarity in triangles
Now,
We know two corresponding angle are congruent in two triangles,
then the third angle would have to be congruent too.
Thus, The degree in a triangle add up to 180 degrees .
So, The answer is;
''If you know two corresponding angles are congruent in two triangles, then the third angles would have to be congruent too. The degrees in a triangle add up to 180 degrees.''
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A two-sided test is performed when we are interested in deviations _____________ from the hypothesized value.
Answers
When we are interested in deviations greater than or less than the hypothesized value, we do a two-sided test.
A two-tailed or two-sided test determines whether a sample is greater than or less than a specific range of values by using a two-sided critical area of distribution.
This test tests the null hypothesis. This test determines whether there is a statistically significant difference between the sample and population mean.
This test also determines whether a claim is true or not.
This test differs from a one-tailed test because one-tailed tests permit the potential for a one-directional effect. But the two-tailed tests examine the potential for two-directional (positive and negative directions) effects.
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What is 2,367 x 578 =
Answers
Answer:
Step-by-step explanation:
1368126
Answer: your answer is 1,368,126
Step-by-step explanation:
Multiply the whole number and fraction. Simplify your answer and write it as a mixed number 3•5/9
Answers
The multiplication of the given expression in the simplified is 5000/ 729 and in mixed form is [tex]6\frac{626}{729}[/tex].
How to multiply fractions with mixed numbers?To multiply fractions with mixed numbers, first convert the mixed number into an improper fraction. Then, multiply the numerators of the fractions separately, and then multiply the denominators separately and simplify the result to obtain the answer.
A whole number and a legal fraction are combined to form a mixed number. An improper fraction is created by multiplying a mixed number by its denominator, keeping the denominator, and adding the resulting number to the proper fraction's numerator.
The given expression is
3 × (5/9) ×(5/3) × (8/9) ×[tex]1\frac{6}{9}[/tex] × [tex]1\frac{2}{3}[/tex]
= 3 × (5/9) ×(5/3) × (8/9) × (1×(9/6))/9 × ((1×3)+2))/3
= 3 × (5/9) ×(5/3) × (8/9) × (15/9) × (5/3)
= 45000/6561
= 5000/729
= [tex]6\frac{626}{729}[/tex]
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The complete question is:
"Multiply the whole number and fraction. Simplify your answer and write it as a mixed number 3 × (5/9) ×(5/3) × (8/9) ×[tex]1\frac{6}{9}[/tex] × [tex]1\frac{2}{3}[/tex]"
At a local print shop, 12 copies can be made for $6. At this rate, how how many copies could be made for $27?
Answers
Answer: 54 copies
Step-by-step explanation:
12 copies for $6
1 copy for $0.5
x copies for $27
27/0.5 = 54
1(54) = 54 copies
Write an equation in point-slope form that passes through the points (-4,7) and (8,3)
Answers
Answer:EMD
Step-by-step explanation:
Answer:
Since there are two points there are two equations that can written.
1. [tex]y-7=-\frac{1}{3} (x+4)[/tex]
2. [tex]y-3=-\frac{1}{3} (x-8)[/tex]
Step-by-step explanation:
Step 1: Point Slope Form
[tex]y-y_{1} =m(x-x_{1})[/tex]Step 2: Find the slope of the two points
Slope = m[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]Points: (-4,7) and (8,3)y₂ = 3y₁ = 7x₂ = 8x₁ = -4[tex]m=\frac{3-7}{8-(-4)}=\frac{-4}{8+4} =\frac{-4}{12} =\frac{-1}{3}[/tex]Step 3: Write the equation
[tex]y-y_{1} =m(x-x_{1})[/tex][tex]m=-\frac{1}{3}[/tex]Points: (-4,7) and (8,3)Using the point (-4,7):[tex]y-7=-\frac{1}{3} (x+4)[/tex]Using the point (8,3):[tex]y-3=-\frac{1}{3} (x-8)[/tex]The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. starting with 115 grams of a radioactive isotope, how much will be left after 3 half-lives?
Answers
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 115 grams of a radioactive isotope
If we start with 115g of the isotope, after one half-life the quantity will diminish to [tex]\frac{115g}{2} = 57.5[/tex] which is half the original quantity.
This can be written mathematically as: [tex]115g(\frac{1}{2})^{1}[/tex]
After the second half life: [tex]\frac{57.5g}{2} = 28.75 = \frac{115g}{4} = (115g)\frac{1}{2}^{2}[/tex]
After the third half life: [tex]\frac{28.75g}{2} = 14.37g = \frac{115g}{8} = (115g)(\frac{1}{2}) ^{3}[/tex]
But now we can see a pattern developing, because for each new half-life we are dividing the quantity by 2 to a power that increases as the number of half-lives.
Then we can take the original quantity and quickly compute for 6 half-lives:
[tex](115g)(\frac{1}{2})^{6} = (115g)(\frac{1}{64}) = \frac{115g}{64} = 1.79g[/tex]
The time it takes for the isotope to do this will depend on the isotope in question. For some it will be microsecond, and for others it will be years and decades. The isotope will typically decay to become another element or isotope.
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how much water will there be after 1 second
Answers
There will be 5.41667 gallons of water in the bucket after 1 second according to the straight line present in graph.
The line passes through O(0, 0) and A(12, 5).
The slope of the line OA is given by :
Slope, m = ([tex]y_{2} - y_{1}[/tex])/([tex]x_{2} - x_{1}[/tex])
⇒ m = (5 - 0)/(12 - 0)
⇒ m = 5/12
The equation of the line passing through (0, 0) having slope = 5/12 is :
(y - 0) = (5/12)(x - 0)
⇒ y = 5x/12
After 1 second, the time t = 13 sec
Then, on substituting x = 13 in y = 5x/12, we can get the no. of gallons of water :
⇒ y = 5(13)/12 = 65/12 = 5.41667
Hence, after 1 second there will be 5.41667 gallons of water in the bucket.
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Identify the form the following equation is in y − 2 = 58(x + 16)
A. Standard Form
B. Point Slope Form
C. Slope Intercept Form
Answers
The form of the equation y − 2 = 58(x + 16) is the (b) Point Slope Form
How to determine the equation form?From the question, we have the equation to be
y − 2 = 58(x + 16)
The above equation is a linear equation
A linear equation can be represented in three forms:
Standard Form: Ax + By = CPoint Slope Form: y - Y = m(x - X)Slope Intercept Form: y = mx + cWhen the above forms are compared to y − 2 = 58(x + 16), we have the form to be y − Y = 58(x - X)
Hence, the equation is in its Point Slope Form
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COMPUTER TABLETS Last year, an office supply store sold 220 computer
tablets for $420 each. This year its manager is considering reducing the
price to increase sales. She estimates that for each $12 decrease in price,
the store will sell 20 additional tablets.
a. Define variables and write a function to represent the situation.
b. How much should the store charge for each tablet to maximize its profit?
c. Find the domain and range in the context of this situation
Answers
a. The function to represent the situation y = 420x.
b. The store charge for each tablet to maximize its profit is $408
c. The domain is [0, ∞) and the range is [0, ∞).
Function:
Basically, the term function means the relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given,
Last year, an office supply store sold 220 computer tablets for $420 each. This year its manager is considering reducing the price to increase sales. She estimates that for each $12 decrease in price, the store will sell 20 additional tablets.
Here we need to find the following:
a. The function to represent the situation
b. The store charge for each tablet to maximize its profit
c. The domain and range
While we looking into the given question as have identified that,
Price of each tablet = $420
Number of tablet sold = 220
Let us consider x be the number of tablet sold and y be the total amount.
So, the function that is used to calculate the sold tablet numbers is written as,
=> y = 420x
Here the store charge for each tablet to maximize its profit is $12.
So, the current price for the tablet is $408.
Here the domain is [0, ∞) and the range is [0, ∞).
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A mix of solid and stripped shirts are hanging on a store rack. sixty percent of the shirts are solid if they are 45 shirt how many are striped?
Answers
Answer: 18
Step-by-step explanation:
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people took the trip. She was able to purchase coach tickets for $260
and first class tickets for $1130. She used her total budget for airfare for the trip, which was $8080. How many first class tickets did she buy? How many coach tickets did she buy?
number of first class tickets bought
Answers
Main answer:
She bought 5 coach tickets and 6 first class tickets.
Step-by-step explanation:
Given:
Total tickets = 11
Let's First class tickets =f, Coach tickets = c.
Total tickets = f + c
f + c = 11
⇒ f = 11 - c → equation 1
Cost she used to purchase coach tickets = $260
Cost she used to purchase First class tickets = $1130
Total budget for airfare = $8080
260c + 1130f = 8080 → equation 2
Substitute equation 1 in equation 2;
260c + 1130(11-c) = 8080
260c + 12430 - 1130c = 8080
12430 - 8080 = 1130c- 260c
870c = 4350
c = 5 peoples
Now, Substitute c in equation 1;
f + c = 11
f = 11 - 5
f = 6 peoples
Hence, She bought 5 coach tickets and 6 first class tickets.
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Calc 2
Suppose that 5 J of work is needed to stretch a spring from its natural length of 32 cm to a length of 49 cm.
a) How much work (in J) is needed to stretch the spring from 40 cm to 44 cm? (Round your answer to two decimal places.)
------J
b) How far beyond its natural length (in cm) will a force of 20 N keep the spring stretched? (Round your answer one decimal place.)
------cm
Answers
The work done in stretching the spring from 40 cm to 44 cm is 0.28 J while the extension by the 20 N force is by 0.058 m.
What is the Hooke's law?Hooke's law states that, as long as the elastic limit is not exceeded the force that is exerted on an elastic material is directly proportional to the length of the material.
Given that;
W = 1/2Ke^2
W = elastic potential energy
K = force constant
e = extension
Given that the extension is obtained from; (49 - 32) * 10^-2
= 0.17 m
5 = 0.5 * K * (0.17)^2
K = 5/0.5 * (0.17)^2
K = 346
a) To stretch the spring from 40 cm to 44;
e = (44 - 40) * 10^-2
= 0.04 m
W = 0.5 * 346 * (0.04)^2
= 0.28 J
b) The spring is stretched;
F = Ke
F =force
K = force constant
e = extension
20 = 346 * e
e = 20/346
e = 0.058 m
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Find the value of x in each case.
Answers
Answer:
x + 100 = 4x +49
x= 17
158+148+32+x = 360
338+x= 360
x= 22
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Matthew' curtain company i making curtain for a local hotel. He want each curtain to be 36 inche long. At the fabric tore, fabric i old by the foot. If Matthew' curtain company want to make 74 curtain, how many feet of fabric will he need?
Answers
Matthew' curtain company will need 222 feet to make 74 curtains.
We will first convert the curtain length to feet. As per the known fact, 1 inch = 1/12 feet
So, 36 inch = 3 feet
Hence, each curtain will be of 3 feet length and hence requires 3 feet fabric.
So, the total amount of fabric required based on the need = 74 × 3
Performing multiplication on Right Hand Side of the equation
The total amount of fabric needed to make 74 curtains = 222 feet
Hence, the company will need 222 feet fabric to make 74 curtains.
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which expression is equivalent to 6y-12
Answers
Answer:
3y+3y-12
Step-by-step explanation:
when they have the same variable with same power you can just combine the coefficient
3y+3y-12
6y-12
Hopes this helps please mark brainliest
Answer:3y+3y-12
Step-by-step explanation:
3y+3y=6y
-12
6y-12=3y+3y-12
